马斯喀特问题的稳态解。

Collectanea mathematica (Barcelona, Spain) Pub Date : 2023-01-01 DOI:10.1007/s13348-021-00348-z

Omar Sánchez

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摘要

本文研究了具有大表面张力系数的Muskat问题的平稳解的存在性。Ehrnstrom, Escher和Matioc在Mats Ehrnström (Methods Appl Anal 20:33-46, 2013)中研究，对于低于有限值的表面张力，存在解决此问题的方法。在这些笔记中，考虑到大的表面张力，我们超过了这个值。我们还通过数值模拟给出了一些解释解的行为的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Steady-state solutions for the Muskat problem.

In this paper we study the existence of stationary solutions for the Muskat problem with a large surface tension coefficient. Ehrnstrom, Escher and Matioc studied in Mats Ehrnström (Methods Appl Anal 20:33-46, 2013) that there exists solutions to this problem for surface tensions below a finite value. In these notes we go beyond this value considering large surface tension. Also by numerical simulation we show some examples that explains the behavior of solutions.

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